Classification of Surfaces

Publication Date

Spring 4-22-2026

College

College of Sciences & Mathematics

Department

Math and Computer Science, Department of

Student Level

Undergraduate

Faculty Mentor

Adam Cartisano

Presentation Type

Talk/Oral

Summary

The classification of surfaces states that every compact, connected surface is homeomorphic to a standard model determined by its orientability, genus, and number of boundary components. We will explore how these topological features influence the Euler characteristic.

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